Mathematics · 2024
JEE Main · 9 April 2024, Shift 2 · Q1
Let the range of the function f(x)=1/(2+ sin 3 x+ cos 3 x), x ∈ R be [a, b]. If α and β are respectively the A.M. and the G.M. of a and b, then…
Let the range of the function $\displaystyle f(x)=\frac{1}{2+\sin 3 x+\cos 3 x}, x \in \mathbb{R}$ be $\displaystyle [a, b]$. If $\displaystyle \alpha$ and $\displaystyle \beta$ are respectively the A.M. and the G.M. of $\displaystyle a$ and $\displaystyle b$, then $\displaystyle \frac{\alpha}{\beta}$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \sqrt{2}$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.